11646642120 has 64 divisors (see below), whose sum is σ = 34953336000. Its totient is φ = 3104579328.

The previous prime is 11646642113. The next prime is 11646642127. The reversal of 11646642120 is 2124664611.

11646642120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11646642113) and next prime (11646642127).

It is not an unprimeable number, because it can be changed into a prime (11646642127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321066 + ... + 355494.

It is an arithmetic number, because the mean of its divisors is an integer number (546145875).

Almost surely, 2^11646642120 is an apocalyptic number.

11646642120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11646642120 is an abundant number, since it is smaller than the sum of its proper divisors (23306693880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11646642120 is a wasteful number, since it uses less digits than its factorization.

11646642120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37262 (or 37258 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 11646642120 in words is "eleven billion, six hundred forty-six million, six hundred forty-two thousand, one hundred twenty".